This is quite wrong.
https://www.federalreserve.gov/monetarypolicy/discountrate.h... https://www.federalreserve.gov/monetarypolicy/standing-overn... https://www.federalreserve.gov/monetarypolicy/bank-term-fund...
In addition, the Fed also borrows money.
https://www.federalreserve.gov/monetarypolicy/overnight-reve...